SMS scnews item created by Stephan Tillmann at Fri 8 Jul 2016 1557
Type: Seminar
Modified: Mon 11 Jul 2016 1201; Mon 11 Jul 2016 1202
Distribution: World
Expiry: 7 Oct 2016
Calendar1: 14 Jul 2016 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: The analysis of constrained Willmore surfaces from the viewpoint of quaternionic function theory
Auth: [email protected] (assumed)
Geometry & Topology
The analysis of constrained Willmore surfaces from the viewpoint of quaternionic function theory
Martin Schmidt (Mannheim)
Thursday 14 July 2016 from 12:00–13:00 in Carslaw 535A
Please join us for lunch after the talk!
Abstract:
We use the quaternionic function theory of Pedit and Pinkall in order
to describe constrained Willmore surfaces in the four and three
dimensional sphere. We introduce a class of conformal immersions with
square integrable Hopf fields and consider sequences in this class
with bounded Willmore energy. The Willmore energy defines a bounded
measure on the surface with a weak limit in the space of measures. As
long as this limit does not contain point measures of weight al least
4 Pi, the corresponding sequences have limits in the same class.
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